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Finding the Fourth Proportional to 25,100.71, 34,639.87 and 13,770.23

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Solution

The fourth proportional to 25,100.71, 34,639.87 and 13,770.23 is: 19,003.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,100.71 : 34,639.87 = 13,770.23 : x
  2. Step 2: Convert to fraction form
    25,100.71/34,639.87 = 13,770.23/x
  3. Step 3: Cross multiply
    25,100.71x = 34,639.87 × 13,770.23
  4. Step 4: Simplify right side
    25,100.71x = 476,998,977.07
  5. Step 5: Solve for x
    x = 476,998,977.07/25,100.71
  6. Step 6: Final answer
    x = 19,003.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.